Nakedly singular counterpart of Schwarzschild's incompressible star. A barotropic continuity condition in the center
arXiv:1906.09140 · doi:10.1007/s10714-019-2628-9
Abstract
A static sphere of incompressible fluid with uniform proper energy density is considered as an example of exact star-like solution with weakened central regularity conditions characteristic of a nakedly singular spherical vaccuum solution. The solution is a singular counterpart of the Schwarzschild's interior solution. The initial condition in the center for general barotropic equations of state is established.
accepted (grg), 10 pages, 1 figure